## T. Kobayashi, *Residue formula for regular symmetry breaking operators*,
Contemporary Mathematics, vol. 714, pp. 175-193, Amer. Math.Soc., 2018,
arXiv: 1709.05035.
10.1090/conm/714/14380.

We prove an explicit residue formula
for a meromorphic continuation of conformally covariant integral operators
between differential forms
on **R**^{n}
and on its hyperplane.
The results provide a simple and new construction
of the conformally covariant differential symmetry breaking operators
between differential forms
on the sphere
and those on its totally geodesic hypersurface
that were introduced
in [Kobayashi-Kubo-Pevzner, Lect. Notes Math. (2016)].
Moreover,
we determine the zeros
of the matrix-valued regular symmetry breaking operators
between principal series representations
of *O*(*n*+1,1) and *O*(*n*,1).

[ DOI |
arXiv |
preprint ]

© Toshiyuki Kobayashi